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Finding the Third Proportional to 191,287 and 280,786

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Solution

The third proportional to 191,287 and 280,786 is: 412,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,287 : 280,786 = 280,786 : x
  2. Step 2: Convert to fraction form
    191,287/280,786 = 280,786/x
  3. Step 3: Cross multiply
    191,287x = 280,786 × 280,786
  4. Step 4: Simplify right side
    191,287x = 78,840,777,796
  5. Step 5: Solve for x
    x = 78,840,777,796/191,287
  6. Step 6: Final answer
    x = 412,159.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.